cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A180752 Half the number of nX3 binary arrays with each element equal to at least two neighbors.

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%I A180752 #7 Jul 22 2025 08:28:13
%S A180752 0,1,1,2,3,7,14,31,67,148,325,717,1580,3485,7685,16950,37383,82451,
%T A180752 181850,401083,884615,1951080,4303241,9491097,20933272,46169785,
%U A180752 101830665,224594602,495358987,1092548639,2409691878,5314742743
%N A180752 Half the number of nX3 binary arrays with each element equal to at least two neighbors.
%C A180752 Column 3 of A180760
%H A180752 R. H. Hardin, <a href="/A180752/b180752.txt">Table of n, a(n) for n=1..99</a>
%F A180752 Empirical: a(n) = 2*a(n-1) + a(n-2) - a(n-3) - a(n-5).
%F A180752 Empirical: G.f.: -x^2*(-1+x+x^3+x^2) / ( (x-1)*(1+x)*(x^3+2*x-1) ). a(n)-a(n-2) = A052980(n-3). - _R. J. Mathar_, Mar 24 2018
%K A180752 nonn
%O A180752 1,4
%A A180752 _R. H. Hardin_ Sep 20 2010